A new sufficient two-weighted bump assumption for L^p boundedness of Calderón-Zygmund operators

2013/10/23 by Anderson, Theresa C.
#43A85 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.6236

Abstract

We present new results on the two-weighted boundedness of singular integral operators and L^p boundedness of the Orlicz maximal function. Namely, we extend a theorem of Pérez regarding the necessary and sufficient conditions for the boundedness of the Orlicz maximal function as well as give a new sufficient two-weighted boundedness assumption for Calderón-Zygmund singular integrals.

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